# Solving Scientific Notation Problems Since part of a number that is written in scientific notation is 10 raised to a power, when we multiply or divide these types of numbers we need to remember some of our exponent rules.

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The calculator will generate a detailed step-by-step explanation for each operation.

This tutorial takes a look at the basic definition of scientific notation, an application that involves writing the number using an exponent on 10.

Word Problems using Scientific Notation: Mixed multiplication/division problems, word problems using scientific notation.

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In those days, there were only three methods for solving a multiplication problem that a person couldn't do in his or her head: pencil and paper, getting time on a mainframe computer, or using a slide rule. So in order to multiply 187 by 26 the numbers would be rewritten so that they were something between 1 and 9.99: However, this still left more work to be done to get to the final answer. This led to an appreciation for something called scientific notation.

Scientific notation is defined as a standardized way to represent any number as the product of a real number and a power of 10.

We would thus have 1.67 To complete the conversion of 29010 to scientific notation, we would get 2.91 x 10⁴ The 10 is raised to the power of 4, because there are 4 places counting from right to left.

This scientific notation is positive because the decimal moved to the left. A The scientific notation is in the positive so we shift the decimal 6 places to the right.

0.0167 = 1.67 x 10You may also need to convert numbers that are already represented in scientific notation or in their power of ten, to regular numbers. If the power is positive, shift decimal to the right If the power is negative, shift decimal point to the left The answer is in the negative because the decimal moved left. B The scientific notation is in the negative so we shift the decimal 2 places to the left.

Introduction to Scientiic Notation: Learn the basic principles of scientific notation. Scientific Notation Generator: Javascript program will enable you to practice converting any number from basic notation to scientific notation.

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